Search a number
-
+
5164462072 = 2371137347653
BaseRepresentation
bin1001100111101001…
…10110111111111000
3111022220211212010001
410303310312333320
541034100241242
62212244202344
7241660126510
oct46364667770
914286755101
105164462072
112210227880
1210016993b4
13643c52323
1436dc72840
152035e0eb7
hex133d36ff8

5164462072 has 128 divisors (see below), whose sum is σ = 12453834240. Its totient is φ = 1949114880.

The previous prime is 5164462063. The next prime is 5164462073. The reversal of 5164462072 is 2702644615.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164462073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7908498 + ... + 7909150.

It is an arithmetic number, because the mean of its divisors is an integer number (97295580).

Almost surely, 25164462072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226917120).

5164462072 is an abundant number, since it is smaller than the sum of its proper divisors (7289372168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5164462072 is a wasteful number, since it uses less digits than its factorization.

5164462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 5164462072 is about 71864.1918621507. The cubic root of 5164462072 is about 1728.5224748613.

The spelling of 5164462072 in words is "five billion, one hundred sixty-four million, four hundred sixty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 347 407 518 616 653 694 814 1036 1306 1388 1628 2072 2429 2612 2776 2849 3256 3817 4571 4858 5224 5698 7183 7634 9142 9716 11396 12839 14366 15268 18284 19432 22792 24161 25678 26719 28732 30536 36568 48322 50281 51356 53438 57464 89873 96644 100562 102712 106876 141229 169127 179746 193288 201124 213752 226591 265771 282458 338254 359492 402248 453182 531542 564916 676508 718984 906364 988603 1063084 1129832 1353016 1586137 1812728 1860397 1977206 2126168 2492501 3172274 3720794 3954412 4985002 6344548 7441588 7908824 8383867 9970004 12689096 14883176 16767734 17447507 19940008 33535468 34895014 58687069 67070936 69790028 92222537 117374138 139580056 184445074 234748276 368890148 469496552 645557759 737780296 1291115518 2582231036 5164462072